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Simplifying 4(3 + -2a) = 12 + -3a (3 * 4 + -2a * 4) = 12 + -3a (12 + -8a) = 12 + -3a Add '-12' to each side of the equation. 12 + -12 + -8a = 12 + -12 + -3a Combine like terms: 12 + -12 = 0 0 + -8a = 12 + -12 + -3a -8a = 12 + -12 + -3a Combine like terms: 12 + -12 = 0 -8a = 0 + -3a -8a = -3a Solving -8a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -8a + 3a = -3a + 3a Combine like terms: -8a + 3a = -5a -5a = -3a + 3a Combine like terms: -3a + 3a = 0 -5a = 0 Divide each side by '-5'. a = 0 Simplifying a = 0
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